Can you please help me answer these questions.

1.Information is collected from 96 people that are unvaccinated, vaccinated with one dose or two doses of a Covvid-19 vaccination from a random geographic location. This data is summarized below according to their vaccination status and age-group.

	12 to 29 years	30 to 49 years	50 years and above	Total
Unvaccinated	16	14	3	33
Single Dose	13	9	17	39
Two Doses	4	12	8	24
Total	33	35	28	96

If one person is chosen at random, find the probability that the person is NOT in the '12 to 29 years' age group .

Round your answer to 3 decimal places.

2.Information was collected from 96 people that were unvaccinated, vaccinated with one dose or two doses of a Covvid-19 vaccination from a random geographic location. This data is summarized below according to their vaccination status and age-group.

	12 to 29 years	30 to 49 years	50 years and above	Total
Unvaccinated	19	8	17	44
Single Dose	9	12	2	23
Two Doses	11	14	4	29
Total	39	34	23	96

If one person is chosen at random, find the probability that the person was in the "12 to 29 years" age group AND had "Two Doses" status.

Round your answer to 3 decimal places.

3.The following table represents the age of drivers (in years) and the major causes of 1245 car accidents.

Age	Speeding	Careless Driving	Drinking and Driving	Total
Below 25	133	169	245	547
25 and above	150	268	280	698
Total	283	437	525	1245

Round all final answers to 4 decimal places in the following questions.

(a) Find the probability that a randomly chosen car accident is caused by a careless driver under 25 years old. (b) Find the probability that a randomly chosen car accident is caused by either drinking and driving or speeding. (c) Find the probability that a randomly chosen car accident is caused by either drinking and driving or a driver under 25 years old. (d) Given that a car accident was caused by speeding, calculate the probability that the driver was at least 25 years old. (e) If two car accidents are randomly chosen (without replacement), calculate the probability that they are both caused by careless driving.

4.Suppose approximately 59% of all students study after midnight. For random sample ofn=3n=3students, letXXbe the number of students that study after midnight.

1. Complete the following table for the binomial distribution ofXX. Keep at least 4 decimal places.

X	P(X)
0
1
2
3

Determine the mean and standard deviation ofXX.

Keep at least 4 decimal places.

1. The expected value ofX=X=_____
2. The standard deviation ofX=______

5. Megabus Canada Company trips from Ottawa to Petervborough are on time 70 % of the time. Suppose 11 trips are randomly selected, and the number on-time trips is recorded. Round answers to 3 significant figures. The probability that exactly 9 trips are on time is = ______ The probability that at most 8 trips are on time is =_______ The probability that at least 9 trips are on time is =______

6.Brooke and Miranda began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Brooke took a test in Science and earned a 79, and Miranda took a test in Math and earned a 61.4. Use the fact that all the students' test grades in the Science class had a mean of 71 and a standard deviation of 9.1, and all the students' test grades in Math had a mean of 67 and a standard deviation of 10.1 to answer the following questions. a)Calculate the z-score for Brooke's test grade. z=z=_______ b)Calculate the z-score for Miranda's test grade. z=z=_______ c)Which person did relatively better? pick one below.

a)Brooke

b)Miranda

b)They did equally well.

7. An insurance company wants to estimate the percentage of 16 year olds who make an insurance claim in their first year of driving. They take a sample of 1500 16-year olds who are insured with their company. Match the following:

• ____ percentage of 1500 16-year olds who are insured with the company who make an insurance claim in their first year of driving
• ____ percentage of all 16-year olds who are insured with the company who make an insurance claim in their first year of driving
• ____1500 16-year olds who are insured with the company
• ____ whether or not they made an insurance claim in their first year of driving
• ____ a 16-year old who is insured with the company
• ____ all 16-year olds who are insured with the company

1. parameter
2. variable
3. population
4. individual
5. statistic
6. sample